Solve No.. Date..... 3(2m + 3) - 2(- 3m + 1) = 5m | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3 ( 2 m + 3 ) - 2 ( - 3 m + 1 ) = 5 m$$

Solve for m

$m=-1$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $2m+3$.

$$6m+9-2\left(-3m+1\right)=5m$$

Use the distributive property to multiply $-2$ by $-3m+1$.

$$6m+9+6m-2=5m$$

Combine $6m$ and $6m$ to get $12m$.

$$12m+9-2=5m$$

Subtract $2$ from $9$ to get $7$.

$$12m+7=5m$$

Subtract $5m$ from both sides.

$$12m+7-5m=0$$

Combine $12m$ and $-5m$ to get $7m$.

$$7m+7=0$$

Subtract $7$ from both sides. Anything subtracted from zero gives its negation.

$$7m=-7$$

Divide both sides by $7$.

$$m=\frac{-7}{7}$$

Divide $-7$ by $7$ to get $-1$.

$$m=-1$$